Chapter 3 Integration Volume
Chapter 3 Integration Volume Additional Mathematics Form 5
1.
Find the volume of revolution, in terms of, when the area bounded by the curve, the y-axis and the line y=5 is rotated through about the y-axis.
2.
Find the volume generated, in term of , when the region enclosed by the curve, the y-axis and the straight line y=2 is rotated through about the y-axis.
3.
Find the volume generated, in term of , when the region bounded by the curve, the y-axis and the straight line y=3 is rotated through about the y-axis.
4. y
y = x2 + 2
Ox
Find the volume generated in terms of , when the region bounded by the curve,the -axis and = 6 is revolved through 360 about the -axis.
5.
A region is bounded by the curve, the x-axis and the straight line x = -2 and x = -3 . The region is revolved through about the x-axis. Find the volume of generated, in terms of,
[Ans : ]
6.
Find the volume of revolution, in terms of, when the shaded region Q is rotated through about the x-axis.
[Ans : ]
7.
Find the volume of revolution, in terms of, when the region bounded by the curve, and the straight line is rotated through about the y-axis.
[Ans : ]
8.
Find the volume of revolution, in terms of, when the shaded region A is rotated through about the y-axis.
9.
Find the volume of revolution, in terms of, when the region under the curve and the x-axis is rotated through about the x-axis.
10.
Find the volume of revolution, in terms of , when the region bounded by the curve, the x-axis, the y-axis and the straight line x = 2 is revolved through 360 about the x-axis.
[Ans : ]
11.
Find the volume generated, in terms of , when the shaded region B is revolved through 360o about the x-axis.
[Ans : ]
12.
Find the volume of revolution, in terms of , when the region bounded by the curve, the x-axis, the y-axis is revolved through 360 about the x-axis.
Page | 1